A157235 - cp's OEIS frontend

A157235 Number of primitive inequivalent oblique sublattices of hexagonal (triangular) lattice of index n (equivalence and symmetry of sublattices are determined using only parent lattice symmetries).

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	1
7	0
8	0
9	1
10	2
11	1
12	2
13	1
14	3
15	2
16	2
17	2
18	5
19	2
20	4
21	3
22	5
23	3
24	4
25	4
26	6
27	5
28	6
29	4
30	10
31	4
32	6
33	6
34	8
35	6
36	10
37	5
38	9
39	7
40	8
41	6
42	14
43	6
44	10
45	10
46	11
47	7
48	12
49	8
50	14
51	10
52	12
53	8
54	17
55	10
56	12
57	11
58	14
59	9
60	20
61	9
62	15
63	14
64	14
65	12
66	22
67	10
68	16
69	14
70	22
71	11
72	20
73	11
74	18
75	18
76	18

[0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 3, 2, 2, 2, 5, 2, 4, 3, 5, 3, 4, 4, 6, 5, 6, 4, 10, 4, 6, 6, 8, 6, 10, 5, 9, 7, 8, 6, 14, 6, 10, 10, 11, 7, 12, 8, 14, 10, 12, 8, 17, 10, 12, 11, 14, 9, 20, 9, 15, 14, 14, 12, 22, 10, 16, 14, 22, 11, 20, 11, 18, 18, 18]

cp's OEIS Frontend

A157235 Number of primitive inequivalent oblique sublattices of hexagonal (triangular) lattice of index n (equivalence and symmetry of sublattices are determined using only parent lattice symmetries).

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	1
7	0
8	0
9	1
10	2
11	1
12	2
13	1
14	3
15	2
16	2
17	2
18	5
19	2
20	4
21	3
22	5
23	3
24	4
25	4
26	6
27	5
28	6
29	4
30	10
31	4
32	6
33	6
34	8
35	6
36	10
37	5
38	9
39	7
40	8
41	6
42	14
43	6
44	10
45	10
46	11
47	7
48	12
49	8
50	14
51	10
52	12
53	8
54	17
55	10
56	12
57	11
58	14
59	9
60	20
61	9
62	15
63	14
64	14
65	12
66	22
67	10
68	16
69	14
70	22
71	11
72	20
73	11
74	18
75	18
76	18

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	1
7	0
8	0
9	1
10	2
11	1
12	2
13	1
14	3
15	2
16	2
17	2
18	5
19	2
20	4
21	3
22	5
23	3
24	4
25	4
26	6
27	5
28	6
29	4
30	10
31	4
32	6
33	6
34	8
35	6
36	10
37	5
38	9
39	7
40	8
41	6
42	14
43	6
44	10
45	10
46	11
47	7
48	12
49	8
50	14
51	10
52	12
53	8
54	17
55	10
56	12
57	11
58	14
59	9
60	20
61	9
62	15
63	14
64	14
65	12
66	22
67	10
68	16
69	14
70	22
71	11
72	20
73	11
74	18
75	18
76	18

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	1
7	0
8	0
9	1
10	2
11	1
12	2
13	1
14	3
15	2
16	2
17	2
18	5
19	2
20	4
21	3
22	5
23	3
24	4
25	4
26	6
27	5
28	6
29	4
30	10
31	4
32	6
33	6
34	8
35	6
36	10
37	5
38	9
39	7
40	8
41	6
42	14
43	6
44	10
45	10
46	11
47	7
48	12
49	8
50	14
51	10
52	12
53	8
54	17
55	10
56	12
57	11
58	14
59	9
60	20
61	9
62	15
63	14
64	14
65	12
66	22
67	10
68	16
69	14
70	22
71	11
72	20
73	11
74	18
75	18
76	18